2216248320 has 352 divisors, whose sum is σ = 8336039040. Its totient is φ = 495452160.

The previous prime is 2216248319. The next prime is 2216248339. The reversal of 2216248320 is 238426122.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2195976 + ... + 2196984.

Almost surely, 2^2216248320 is an apocalyptic number.

2216248320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168019520).

2216248320 is an abundant number, since it is smaller than the sum of its proper divisors (6119790720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2216248320 is a wasteful number, since it uses less digits than its factorization.

2216248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2216248320 is about 47077.0466363386. The cubic root of 2216248320 is about 1303.7854791578.

The spelling of 2216248320 in words is "two billion, two hundred sixteen million, two hundred forty-eight thousand, three hundred twenty".